Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Calta, Kariane"'
We extend the results of our 2020 paper in the Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. There, we associated to each of an infinite family of triangle Fuchsian groups a one-parameter family of continued fraction maps and show
Externí odkaz:
http://arxiv.org/abs/2303.09708
Autor:
Rose, Lauren L., Calta, Kariane
Generalized splines on a graph $G$ with edge labels in a commutative ring $R$ are vertex labelings such that if two vertices share an edge in $G$, the difference between the vertex labels lies in the ideal generated by the edge label. When $R$ is an
Externí odkaz:
http://arxiv.org/abs/2208.13062
We give two results for deducing dynamical properties of piecewise M\"obius interval maps from their related planar extensions. First, eventual expansivity and the existence of an ergodic invariant probability measure equivalent to Lebesgue measure b
Externí odkaz:
http://arxiv.org/abs/2208.03807
Publikováno v:
In Expositiones Mathematicae July 2024 42(4)
We study an infinite family of one-parameter deformations, so-called $\alpha$-continued fractions, of interval maps associated to distinct triangle Fuchsian groups. In general for such one-parameter deformations, the function giving the entropy of th
Externí odkaz:
http://arxiv.org/abs/1701.04498
Autor:
Calta, Kariane, Schmidt, Thomas A.
We give explicit pseudo-Anosov homeomorphisms with vanishing Sah-Arnoux-Fathi invariant. Any translation surface whose Veech group is commensurable to any of a large class of triangle groups is shown to have an affine pseudo-Anosov homeomorphism of t
Externí odkaz:
http://arxiv.org/abs/1210.1293
Autor:
Calta, Kariane, Schmidt, Thomas
We give continued fraction algorithms for a particular class of Fuchsian triangle groups. In particular, we give an explicit form of each such group that is a subgroup of the Hilbert modular group of its trace field and provide an interval map that i
Externí odkaz:
http://arxiv.org/abs/1103.2076
Autor:
Calta, Kariane, Smillie, John
Algebraically periodic directions on translation surfaces were introduced by Calta in her study of genus two translation surfaces. We say that a translation surface with three or more algebraically periodic directions is an algebraically periodic sur
Externí odkaz:
http://arxiv.org/abs/math/0703567
Autor:
Calta, Kariane, Wortman, Kevin
We study the action of the horocycle flow on the moduli space of abelian differentials in genus two. In particular, we exhibit a classification of a specific class of probability measures that are invariant and ergodic under the horocycle flow on the
Externí odkaz:
http://arxiv.org/abs/math/0702238
Autor:
Calta, Kariane
We announce a classification of genus 2 Veech surfaces in the stratum with a single double zero. Furthermore, we classify all completely periodic translation surfaces in genus 2.
Externí odkaz:
http://arxiv.org/abs/math/0205163